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Finding the Fourth Proportional to 567,463.46, 783,091.01 and 312,809.14

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Solution

The fourth proportional to 567,463.46, 783,091.01 and 312,809.14 is: 431,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,463.46 : 783,091.01 = 312,809.14 : x
  2. Step 2: Convert to fraction form
    567,463.46/783,091.01 = 312,809.14/x
  3. Step 3: Cross multiply
    567,463.46x = 783,091.01 × 312,809.14
  4. Step 4: Simplify right side
    567,463.46x = 244,958,025,379.83
  5. Step 5: Solve for x
    x = 244,958,025,379.83/567,463.46
  6. Step 6: Final answer
    x = 431,671.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.